as poetic as i find frank's use of the term "harmony" to describe local soundness and completeness (cf. local reduction and expansion of proofs) in natural deduction*, i am not sure that it really works as a music metaphor.
maybe i'm missing something? but musical harmony is about deriving "new" sounds from individual sounds, whereas logical harmony is about checking you *can't* do (something like) that with your inference rules.
*see, e.g., part 11 here cs.cmu.edu/~fp/courses/15814-f…

modulux
in reply to chris mort💀ens • • •I don't think harmony is that bad a metaphor. Harmony has rules. It constraints which sounds go together. And it is even local. I' thinking of rules like these: practicapoetica.com/articles/r…
An alternate metaphor might be counterpoint, but harmony is actually more local.
chris mort💀ens
in reply to modulux • • •modulux
in reply to chris mort💀ens • • •